Mathematics is just a tool. The Pythagoreans made a religion out of numbers, and just like all zealots, they assassinated anyone with heretical notions, like the suggestion that the square root of two was not rational. We can do without that sort of mysticism here. If you want to revere a cube, there's a perfectly good one in Mecca.

Not rejecting anything except for a turn of phrase. Che's initial question was unclear to me as well as to Shaun. I found it in fact hopelessly open-ended. We need this person to focus the question, rather than ask us here to provide pie in the sky. Che, you should also write a post in the Getting to Know You subforum, introducing yourself, so we can properly welcome you.

There is tons of info about symbology here in many threads (see the Numerals subforum), so it behooves a newbie to do a little research. There's also a wealth of info at the DSA website dozenal.org. Look in the section about "Articles" and find something called "Symbology Synopsis" to start with. Use the search feature here to find any posts about icarus's "argam" numeral set too.

Also, the standard among mainstream mathematicians, and even spreadsheet tools like Microsoft Excel and Google Sheets, is to use the letters A through Z of the standard Latin 1 alphabet as transdecimal digits for values 10d through 35d, thereby supporting every base from binary through 3-dozen. But this presumes a "least change" philosophy going from one base to another, not "separate identity" character sets for each and every base.